基于混合型相关系数的概率犹豫模糊集识别方法  

Probability hesitation fuzzy set recognition method based on hybrid correlation coefficient

作　　者：刘赢 关欣 LIU Ying;GUAN Xin(Academy of Aviation Combat Service,Naval Aeronautical University,Yantai 264000,China)

机构地区：[1]海军航空大学航空作战勤务学院,山东烟台264000

出　　处：《控制与决策》2023年第7期2019-2027,共9页Control and Decision

基　　金：国防科技卓越青年人才基金项目(2017-JCJQ-ZQ-003);泰山学者工程专项经费项目(ts201712072).

摘　　要：针对现有概率犹豫模糊集相关系数研究中存在的缺陷,如未考虑隶属度个数以及存在反直觉现象等,提出新的混合型相关系数.混合型相关系数能够综合反映概率犹豫模糊集之间的个体和整体相关性,相比已有的相关系数更为全面、合理.首先,综合考虑概率犹豫模糊数中元素的整体性、分布和长度3个因素,分别定义均值、方差和长度率3个基本相关系数,在此基础上集成得到混合型相关系数,并证明其满足相关系数公理化定义的基本准则,实例分析结果表明,混合型相关系数能够克服现有概率犹豫模糊相关系数存在的缺陷;然后,基于混合型相关系数,进一步设计概率犹豫模糊环境下的多属性决策方法;最后,通过案例分析验证所提出相关系数的有效性和合理性.Aiming at the defects of the existing researches on the correlation coefficients of probabilistic hesitation fuzzy sets(PHFSs),such as not considering the number of membership degrees and having counterintuitive phenomena,a new hybrid correlation coefficient is proposed.The hybrid correlation coefficient can comprehensively reflect the individual and global correlation among the PHFSs,which is more comprehensive and reasonable than the existings.Firstly,three factors of integrity,distribution and length of elements in PHFEs are considered comprehensively,and three basic correlation coefficients of mean,variance and length rate are defined respectively.On this basis,the hybrid correlation coefficient is obtained,which is proved to meet the axiomatic definition criterion of correlation coefficient.The results of case analysis show that the hybrid correlation coefficient overcomes the defects of the existing PHFS correlation coefficient.Based on the hybrid correlation coefficient,the multi-attribute decision making method in the PHFS environment is further designed.Finally,the validity and rationality of the correlation coefficient proposed in this paper is verified by a specific case analysis.

关 键 词：犹豫模糊集 概率犹豫模糊集 相关分析 长度率 混合相关系数 多属性决策 

分 类 号：C934[经济管理—管理学]